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Atlas › Integer Profiles › Node 4,032,963

4,032,963

33 × 11 × 37 × 367
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 11 × 37 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,712,320
Proper Divisor Sum 2,679,357
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4032953 ← → #4032967

Radix Representation

Decimal 4032963
Binary 1111011000100111000011 (22 bits)
Octal 0o17304703
Hexadecimal 0x3D89C3

Divisor Catalog (32)

1 3 9 11 27 33 37 99 111 297 333 367 407 999 1,101 1,221 3,303 3,663 4,037 9,909 10,989 12,111 13,579 36,333 40,737 108,999 122,211 149,369 366,633 448,107 1,344,321 4,032,963

Collatz Trajectory (154 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,032,963 12,098,890 6,049,445 18,148,336 9,074,168 4,537,084 2,268,542 1,134,271 3,402,814 1,701,407 5,104,222 2,552,111 7,656,334 3,828,167 11,484,502 5,742,251 17,226,754 8,613,377 25,840,132 12,920,066 6,460,033 19,380,100 9,690,050 4,845,025 14,535,076 7,267,538 3,633,769 10,901,308 5,450,654 2,725,327 8,175,982 4,087,991 12,263,974 6,131,987 18,395,962 9,197,981 27,593,944 13,796,972 6,898,486 3,449,243 10,347,730 5,173,865 15,521,596 7,760,798 3,880,399 11,641,198 5,820,599 17,461,798 8,730,899 26,192,698 13,096,349 39,289,048 19,644,524 9,822,262 4,911,131 14,733,394 7,366,697 22,100,092 11,050,046 5,525,023

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